Cremona's table of elliptic curves

225 = 3² · 5²

Field	Data	Notes
Atkin-Lehner	3+ 5+	Signs for the Atkin-Lehner involutions
Conductor	225	Conductor
Count	2	Number of curves in isogeny class
Curves	225a1 225a2	Curves in isogeny class
deg	8	Modular degree for the optimal curve
Eigenvalues	0 3+ 5+ -5  0 -5  0 -1	Hecke eigenvalues for primes less than 20
L	1.2453986750529	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	3600bc 14400m 225a 225b	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for isogeny class 225a

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
0	+	+	-5	0	-5	0	-1	0	0	-7	10	0	-5	0	0	0	-13	-5	0	10	-4	0	0	-5

---

Quadratic twists for isogeny class 225a

-4	8	-3	5	-7	-11	13	17	-19	-23
3600bc	14400m	225a	225b	11025d	27225b	38025g	65025c	81225e	119025b

---

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations